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Question

A circular pipe of diameter 0.5 m carries the discharge of 50 l/s. The head loss due to friction in pipe is 0.15 m and friction factor for the pipe is given as 0.01. What is the length (m) of pipe?

A
50.5
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B
85.71
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C
98.95
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D
110.01
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Solution

The correct option is B 85.71
As per Darcy's Weisbach equation

hL=flV22gD=8flQ2π2gD5

hL=0.15=8×0.04×l×(50×103)2π2×9.81×(0.5)5

l=0.15×π2×9.81×(0.5)58×0.01×(50×103)2

=2269.24 m

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